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Journal of Hunan Light Industry College

Time Evolution of Atomic Occupancy in the Two-photon T-C Model via Intensity-dependent Coupling

Fang Jia-Yuan, Huang Chun-Jia, Xiao Fu-liang, Jiangfan Li

Published Jan 1, 2005• 0 citations
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Abstract

The time evolution of atomic occupancy for the system of squeezed vacuum field interacting with two coupling atoms via intensity-dependent coupling in two-photon transition are investigated. The influences of the atomic initial state, the interaction between atoms and the initial squeezed parameter of field on the atomic occupancy are discussed. The results show that periodical collapse-revival phenomenon of the time evolution of atomic occupancy appears, which is caused by the influence of the dipole-dipole interaction between atoms. The periods of the collapse-revival shortens till the collapse-revival disappears while increasing the interaction between atoms. The amplitude of oscillations decreases in increasing the initial squeezed parameter of field.

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Acta Sinica Quantum Optica•Jan 1, 2007•0 citations
The time evolution of atomic occupancy for the system of squeezed vacuum field interacting with two coupling atoms via intensity-dependent coupling in two-photon transition are investigated. The influences of the atomic initial state, the interaction between atoms and the initial squeezed parameter of field on the atomic occupancy are discussed. The results show that periodical collapse-revival phenomenon of the time evolution of atomic occupancy appears, which is caused by the influence of the dipole-dipole interaction between atoms. The periods of the collapse-revival shortens till the collapse-revival disappears while increasing the interaction between atoms. The amplitude of oscillations decreases in increasing the initial squeezed parameter of field.
We investigate the time-evolution of the atom's occupancy in the system of two- mode coherent fields interacting with two atoms in Bell states via multiphoton process.The results show that the atom's occupancy is zero if the two atoms are initially in Bell state 1/2~(1/2)(|+,-〉-|-,+〉).The atom's occupancy is influenced by three factors,which are the intensity of two dipole-dipole coupled atoms,the coupling constant of light and atoms and the absorbing or emitting photon number per atomic transition,if the two atoms are initially in the other three Bell states.The oscillation frequency of the atom's occupancy accelerates apparently with the increase of the intensity of two dipole-dipole coupled atoms or the ab- sorbing or emitting photon number per atomic transition.The collapse-revival phenomenon of the atom's occupancy disappears when the intensity of two dipole-dipole coupled atoms is increased to some point.
The time-evolution of the atom′s occupancy in the system of two-mode entangled coherent fields interacting with two atoms in Bell states via two-photon process is investigated by means of quantum theory.The results show that the atom′s occupancy is zero if the two atoms are initially in Bell state |β11.If the two atoms are initially in the other three Bell states,the oscillation frequency of the atom′s occupancy accelerates and the amplitude decreases apparently with the increase of mean photon numbers of field.The degree of the entanglement for the entangled coherent fields can′t influence the oscillation frequency and the position of the atom′s occupancy curve.If the two atoms are initially in Bell state |β01,the Rabi oscillation frequency of the atom′s occupancy accelerates apparently with the increase of the coupling strength of interaction between atoms.While the two atoms are initially in Bell state |β10 or |β00,the collapse-revival phenomenon of the atom′s occupancy disappears gradually.
In this paper, the quantum properties of light in a system of two coupling atoms interacting with a single-model squeezed vacuum field at the two-photon transition in Kerr medium are studied by means of quantum theory.The influences of the Kerr medium and the dipole-dipole interaction between atoms are discussed. The results show that when the Kerr effect and the dipole-dipole interaction between atoms may be neglected, the fluctuation of U2 can be squeezed periodically. With increasing the Kerr effect and the dipole-dipole interaction between atoms, the squeezing effect of light gradually becomes weak and the squeezing time of light gradually decreases. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the field appears, which is caused by the influence of the Kerr effect and the dipole-dipole interaction between atoms. No matter how large are the coupling constants, the photon bunching always appears.
The time-evolution of atomic population of a light-atoms interaction system,two atoms in Bell states Interacting with two-mode entangled coherent field,are investigated by means of quantum thoery and numerical method.The effect of the atomic initial state,mean photon numbers of field,the degree of the entanglment for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms on the atom's population are discussed by numerical calculation.The results show that the atomic population is time-independent provided that the atom is in |β11〉 state.For the other three Bell states,there will appear the periodical collapse-revival of the atomic population if the initial mean photon number reaches some special value.With the increase of the initial mean photon number,the oscillation frequency of the time-evolution of atomic population increases correspondingly,and the amplitude decreases.The revival period of the atomic population for the initial states |β00〉 and |β10〉 is twice of that for the initial state |β01〉.The degree of entanglement of the two-mode entangled coherent field and the intensity of two dipole-dipole interaction between atoms have no effects on the frequency of the Rabi oscillation,but have obvious effects on the amplitude of the oscillation.